Augmented Lagrangian method for a total variation-based model for demodulating phase discontinuities. (July 2020)

• Record Type: Journal Article
• Authors: Legarda-Saenz, Ricardo; Brito-Loeza, Carlos
• Is Part Of: Journal of algorithms & computational technology. Volume 14(2020)
• Publication Date: 2020-07
• Subjects: Phase demodulation -- fringe analysis -- inverse problems -- variational models; Computer algorithms -- Periodicals; Numerical calculations -- Periodicals; Computer algorithms; Numerical calculations; Periodicals; 518.1
• DOI: 10.1177/1748302620941413
• Languages: English
• ISSNs: 1748-3018

Abstract

In this work, we reformulate the method presented in App. Opt. 53:2297 (2014) as a constrained minimization problem using the augmented Lagrangian method. First we introduce the new method and then describe the numerical solution, which results in a simple algorithm. Numerical experiments with both synthetic and real fringe patterns show the accuracy and simplicity of the resulting algorithm.